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A novel method of exponentially stable adaptive control to compensate for matched parametric uncertainty under a mild condition of semi-persistent excitation (s-PE) of a regressor with piecewise-constant rank and nullspace is proposed. It…

Systems and Control · Electrical Eng. & Systems 2022-10-24 Anton Glushchenko , Konstantin Lastochkin

We examine several zero-range potentials in non-relativistic quantum mechanics. The study of such potentials requires regularization and renormalization. We contrast physical results obtained using dimensional regularization and cutoff…

High Energy Physics - Theory · Physics 2009-10-30 Daniel R. Phillips , Silas R. Beane , Thomas D. Cohen

In this letter we introduce the non-linear partial differential equation (PDE) $\partial^2_{\tau} \pi \propto (\vec\nabla \pi)^2$ showing a new type of instability. Such equations appear in the effective field theory (EFT) of dark energy…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-23 Farbod Hassani , Pan Shi , Julian Adamek , Martin Kunz , Peter Wittwer

We examine the effect of a threshold bias on the power spectrum and the bispectrum in an ensemble of numerical simulations (Gaussian initial perturbations with power law spectra P(k) \sim k^n, n=+1, 0, -1, -2) and compare our results with…

Astrophysics · Physics 2015-06-24 J. N. Fry , Adrian L. Melott , Sergei F. Shandarin

A model-independent parameterization of the low-energy scattering amplitude that incorporates the left-hand cut from one-particle exchange, an extension of the conventional effective-range expansion (ERE), was recently proposed and…

High Energy Physics - Phenomenology · Physics 2026-01-09 Wen-Jia Wang , Bing Wu , Meng-Lin Du , Feng-Kun Guo

We study the power spectrum of dark matter density fluctuations in the framework of the Effective Field Theory of Large Scale Structures (EFTofLSS) up to three loop orders. In principle, several counter-terms may be needed to handle the…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-04 Thomas Konstandin , Rafael A. Porto , Henrique Rubira

New solutions to the non perturbative renormalization group equation for the effective action of a scalar field theory in the Local Potential Approximation having the exponential form $e^{\pm\phi}$ are found. This result could be relevant…

High Energy Physics - Phenomenology · Physics 2009-10-31 Vincenzo Branchina

Cutoff regularized subleading order ${}^1S_0$ NN potential of effective field theory (EFT) is iterated using Lippmann-Schwinger equation. It is shown that the scattering amplitudes calculated in cutoff and subtractively renormalized EFT are…

Nuclear Theory · Physics 2009-11-07 J. Gegelia , G. Japaridze

Effective Field Theory (EFT) is an efficient method for parametrizing unknown high energy physics effects on low energy data. When applied to time-dependent backgrounds, EFT must be supplemented with initial conditions. In these…

High Energy Physics - Theory · Physics 2007-05-23 M. Porrati

Attempts to apply effective field theory (EFT) methods to nonrelativistic nucleon-nucleon (NN) scattering have raised questions about the nature and limitations of an EFT expansion when used nonperturbatively. We discuss the characteristics…

Nuclear Theory · Physics 2009-10-31 James V. Steele , R. J. Furnstahl

This paper focuses on wireless energy transfer (WET) to a pair of low complex energy receivers (ER), by only utilizing received signal strength indicator (RSSI) values that are fed back from the ERs to the energy transmitter (ET). Selecting…

Information Theory · Computer Science 2018-03-13 Chanaka Singhabahu , Tharaka Samarasinghe , Samith Abeywickrama , Chau Yuen

Previous works have shown numerically that the response of a ``stochastic resonator'' is enhanced as a consequence of spatial coupling. Also, similar results have been obtained in a reaction-diffusion model by studying the phenomenon of…

Statistical Mechanics · Physics 2009-11-07 H. S. Wio , S. Bouzat , B. von Haeften

Continuing our effort to build a consistent power counting for chiral nuclear effective field theory (EFT), we discuss the subleading contact interactions, or counterterms, in the singlet channels of nucleon-nucleon scattering, with…

Nuclear Theory · Physics 2013-04-30 Bingwei Long , C. -J. Yang

We review the effective field theories (EFTs) developed for few-nucleon systems. These EFTs are controlled expansions in momenta, where certain (leading-order) interactions are summed to all orders. At low energies, an EFT with only contact…

Nuclear Theory · Physics 2009-11-07 P. F. Bedaque , U. van Kolck

This article reviews unitarization methods essential for extending Effective Field Theories (EFTs) beyond their perturbative limits, particularly in hadronic and electroweak (EW) sectors. Perturbative EFTs, like Chiral Perturbation Theory…

High Energy Physics - Phenomenology · Physics 2026-03-04 Alexandre Salas-Bernárdez

A method to quantitatively assess the consistency of power-counting proposals in Effective Field Theories (EFT) which are non-perturbative at leading order is presented. The Renormalisation Group evolution of an observable predicts the…

Nuclear Theory · Physics 2020-05-20 Harald W. Griesshammer

In this article, we construct empirical likelihood (EL)-weighted estimators of linear functionals of a probability measure in the presence of side information. Motivated by nuisance parameters in semiparametric models with possibly infinite…

Statistics Theory · Mathematics 2023-01-25 Shan Wang , Hanxiang Peng

We study constraints on the effective field theory (EFT) from the relative entropy between two theories: we refer to these as target and reference theories. The consequence of the non-negativity of the relative entropy is investigated by…

High Energy Physics - Theory · Physics 2023-08-02 Qing-Hong Cao , Naoto Kan , Daiki Ueda

Asymptotic expansions are presented for the moments of bound states in one-dimensional anharmonic potentials. The results are derived by using the SAFE method and include only the first non-zero wave-related correction to the familiar…

Quantum Physics · Physics 2023-05-31 G. W. Forbes , Miguel A. Alonso

We focus on the random generation of SAT instances that have properties similar to real-world instances. It is known that many industrial instances, even with a great number of variables, can be solved by a clever solver in a reasonable…

Computational Complexity · Computer Science 2023-03-14 Carlos Ansótegui , Maria Luisa Bonet , Jordi Levy